Roshel has 25% as many beads as Zoe. Zoe has 130% as many beads as Natalie. If Zoe gives 66 beads to Natalie, both will then have an equal number of beads. Find the average number of beads the three of them have.

Roshel	Zoe	Natalie
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

The number of beads that Roshel has is repeated.  Make the number of beads that Roshel has the same. LCM of 4 and 13 is 52.

	Zoe	Natalie	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of beads that Zoe and Natalie have
= 52 u + 40 u
= 92 u

After Zoe gives to Natalie, both of them will have the same number of beads. 

The total number of beads that Zoe and Natalie have remains unchanged.

Number of beads that each of them will have
= 92 u ÷ 2
= 46 u

Number of beads that Zoe gives to Natalie
= 52 u - 46 u
= 6 u

6 u = 66

1 u = 66 ÷ 6 = 11

Total number of beads that three of them have
= 92 u + 13 u
= 105 u

Average number of beads that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 11
= 385

Answer(s): 385